Publications of the University of Nevada, Las Vegas Mathematical Sciences Department faculty.

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Submissions from 2020

A Note on the Limitations of the CAT Procedure with Application to Mixed-Effects Models, Malwane A. Ananda and Samaradasa Weerahandi

Efficiently Constructing Tangent Circles, Arthur Baragar and Alex Kontorovich

Computational Study of the Time Relaxation Model With High Order Deconvolution Operator, Jeffrey Belding, Monika Neda, and Fran Pahlevani

A Finite Volume–Alternating Direction Implicit Method for the Valuation of American Options under the Heston Model, Jiacheng Cai and Hongtao Yang

Optimal Control for Electromagnetic Cloaking Metamaterial Parameters Design, Zhiwei Fang, Jichun Li, and Xiang Wang

Computation of Fermat’s Pseudoprimes (Dedicated to the Memory of Professor Leetsch C. Hsu), Tian-Xiao He, Peter J.S. Shiue, and Yaotsu Chang

Analysis of a Novel Finite Element Method for a Modified Cahn–Hilliard–Hele–Shaw System, Hongen Jia, Yayu Gao, Jichun Li, and Yunqing Huang

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Finite Element Analysis of an Arbitrary Lagrangian–Eulerian Method for Stokes/Parabolic Moving Interface Problem With Jump Coefficients, Rihui Lan, Michael J. Ramirez, and Pengtao Sun

A Monolithic Arbitrary Lagrangian–Eulerian Finite Element Analysis for a Stokes/Parabolic Moving Interface Problem, Rihui Lan and Pengtao Sun

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Recent Advances in Computational Mathematics and Applications, Eric Machorro, Jichun Li, Monika Neda, Pengtao Sun, and Hongtao Yang

Closed-Form Analytical Solutions for Options on Agricultural Futures With Seasonality and Stochastic Convenience Yield, Zonggang Ma, Chaoqun Ma, and Zhijian Wu

An Enhanced Finite Difference Time Domain Method for Two Dimensional Maxwell's Equations, Timothy Meagher, Bin Jiang, and Peng Jiang

A Discontinuous Galerkin Method for the Stolz–Adams Approximate Deconvolution Model for Turbulent Flows, Monika Neda and Béatrice Rivière

An Interface-Unfitted Conforming Enriched Finite Element Method for Stokes-Elliptic Interface Problems with Jump Coefficients, Hua Wang, Jinru Chen, Pengtao Sun, and Rihui Lan

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Towards a Novel Generalized Chinese Remainder Algorithm for Extended Rabin Cryptosystem, Justin Zhan, Peter J. Shiue, Shen C. Huang, and Benjamin J. Lowe

Submissions from 2019

Existence of Solution for a Class of Quasilinear Schrödinger Equation in ℝN with Zero-Mass, Claudianor O. Alves, David G. Costa, and Olímpio H. Miyagaki

Inference of Genetic Forces Using a Poisson Random Field Model with Non-Constant Population Size, Amei Amei and Jianbo Xu

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Inferring the Distribution of Selective Effects from a Time Inhomogeneous Model, Amei Amei and Shilei Zhour

Divisibility of Generalized Catalan Numbers and Raney Numbers, Jacob Bobrowski, Tianxiao He, and Peter Jau Shyong Shiue

Invariance of Critical Points Under Kelvin Transform and Multiple Solutions in Exterior Domains of R2, Siegfried Carl, David G. Costa, Morteza Fotouhi, and Hossein Tehrani

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Comparison Principle for Stochastic Heat Equation on Rd, Le Chen and Jingyu Huang

Nonlinear Stochastic Time-Fractional Slow and Fast Diffusion Equations on Rd, Le Chen, Yaozhong Hu, and David Nualart

Nonlinear Stochastic Heat Equation Driven by Spatially Colored Noise: Moments and Intermittency, Le Chen and Kunwoo Kim

Two-Stage Procedure of Fixed-Width Confidence Intervals for the Risk Ratio, Hokwon Cho

On Fixed-Width Confidence Limits for the Risk Ratio with Sequential Sampling, Hokwon Cho and Zhou Wang

A Note on Breaking of Symmetry for a Class of Variational Problems, David G. Costa and Zhiwei Fang

Impact of Seasonality and Rainfall on Tea Production in Sri Lanka, Rohan J. Dalpatadu, Kasun S. Kodikara, and Ashok K. Singh

Efficient Stochastic Galerkin Methods for Maxwell’s Equations with Random Inputs, Zhiwei Fang, Jichun Li, Tao Tang, and Tao Zhou

Numerical Analysis for the Cahn-Hilliard-Hele-Shaw System with Variable Mobility and Logarithmic Flory-Huggins Potential, Yayu Guo, Hongen Jia, Jichun Li, and Ming Li

Generalizations of the Arithmetic Case of Blackwell's Renewal Theorem, Petros Hadjicosta

Multiple Periodic Solutions for Suspension Bridge Systems, Chen Huang, Gao Jia, and Zhonghai Ding

Development and Analysis of Both Finite Element and Fourth-Order in Space Finite Difference Methods for an Equivalent Berenger's PML Model, Yunqing Huang, Min Chen, and Jichun Li

Continuous Mixed Finite Element for the Second Order Elliptic Equation with a Low Order Term, Yunqing Huang, Jichun Li, and Shangyou Zhang

Simulating Backward Wave Propagation in Metamaterial with Radial Basis Functions, Jichun Li and Bing Nan

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Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients, Andrew Lundberg, Pengtao Sun, Cheng Wang, and Chen-song Zhang

Mathematical Modeling of Gas Transport in Porous Geological Media with Contrast of Properties and Irregular Distribution of Pores, Viktoria Savatorova and Aleksei Talonov

Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for Stokes/Parabolic Interface Problems With Jump Coefficients, Pengtao Sun and Cheng Wang

Effects of Numerical Intergration on DLM/FD Method for Solving Interface Problems with Body-Unfitted Meshes, Cheng Wang, D. Nicholas McLetchie, Sarah M. Eppley, and Lloyd R. Stark

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Myopic Versus Farsighted Behaviors in a Low-Carbon Supply Chain with Reference Emission Effects, Jun Wang, Xianxue Cheng, Xinyu Wang, Hongtao Yang, and Shuhua Zhang

Minimizing Total Carbon Emissions in an Integrated Machine Scheduling and Vehicle Routing Problem, Jun Wang, Song Yao, Jiachuan Sheng, and Hongtao Yang

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A Simplified Crossing Fiber Model in Diffusion Weighted Imaging, Sheng Yang, Kaushik Ghosh, Ken Sakaie, Satya S. Sahoo, Sarah J. Ann Carr, and Curtis Tatsuoka

Collaboration in a Low-Carbon Supply Chain With Reference Emission and Cost Learning Effects: Cost Sharing Versus Revenue Sharing Strategies, Baoqin Yu, Jun Wang, Xinman Lu, and Hongtao Yang

Collaboration in a Low-Carbon Supply Chain with Reference Emission and Cost Learning effects: Cost Sharing Versus Revenue Sharing Strategies, Baoqin Yu, Jun Wang, Xinman Lu, and Hongtao Yang

Solitary Waves for One-Dimensional Nematicon Equations, Guoqing Zhang, Ningning Song, and Zhonghai Ding

Submissions from 2018

On a Temporal Investigation of Hurricane Strength and Frequency, Moinak Bhaduri and Chih-Hsiang Ho

A Sensitivity Study of the Navier-Stokes-alpha Model, Sean Breckling, Monika Neda, and Fran Pahlevani

Extremal Solutions of Logistic-Type Equations in Exterior Domain in R2, Siegfried Carl, David G. Costa, and Hossein Tehrani

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Selection of Transformations of Continuous Predictors in Logistic Regression, Michael Chang, Rohan J. Dalpatadu, and Ashok K. Singh

On the Primality of the Generalized Fuss-Catalan Numbers, Wun-Seng Chou, Tian-Xiao He, and Peter J. S. Shiue

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A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations, Huadong Gao and Pengtao Sun

Correction to: A Linearized Local Conservative Mixed Finite Element Method for Poisson–Nernst–Planck Equations, Huadong Gao and Pengtao Sun

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On Cyclic Strings Avoiding a Pattern, Petros Hadjicostas and Lingyun Zhang

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Mixed Finite Element Analysis for the Poisson-Nerst-Planck/Stokes Coupling, Mingyan He and Pengtao Sun

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Numerical Analysis of a Leapfrog ADI–FDTD Method for Maxwell's Equations in Lossy Media, Yunqing Huang, Meng Chen, Jichun Li, and Yanping Lin

A New FDTD Scheme for Maxwell’s Equations in Kerr-type Nonlinear Media, Hongen Jia, Jichun Li, Zhiwei Fang, and Ming Li

Decoupled Characteristic Stabilized Finite Element Method for Time‐dependent Navier–Stokes/Darcy Model, Xiaofeng Jia, Jichun Li, and Hongen Jia

Numerical Simulation of an Immersed Rotating Structure in Fluid for Hemodynamic Applications, Wei Lang, Chen-Song Zhang, Pengtao Sun, Bin Gao, and Jinchao Xu

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Developing and Analyzing Fourth-order Difference Methods for the Metamaterial Maxwell's Equations, Jichun Li, Meng Chen, and Min Chen

Analysis and Application of Stochastic Collocation Methods for Maxwell’s Equations with Random Inputs, Jichun Li and Zhiwei Fang

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Regularity Analysis of Metamaterial Maxwell's Equations with Random Coefficients and Initial Conditions, Jichun Li, Zhiwei Fang, and Guang Lin

Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model, Jichun Li, Chen Meng, and Yunqing Huang

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A Weak Galerkin Least-squares Finite Element Method for Div-curl Systems, Jichun Li, Xiu Ye, and Shangyou Zhang

Improved Analysis And Simulation Of A Time-domain Carpet Cloak Model, J Li, C Meng, and Y Huang

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Probabilistic Interpretation of Solutions of Linear Ultraparabolic Equations, Michael D. Marcozzi

Experimental Study of Bio-Polymer Knee Implant, Maria Ramos Gonzalez, Brendan OToole, and Zhiyong Wang

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Discontinuous Galerkin Methods for Maxwell's Equations in Drude Metamaterials on Unstructured Meshes, Cengke Shi, Jichun Li, and Chi-Wang Shu

Fictitious Domain Finite Element Method for Stokes/Elliptic Interface Problems with Jump Coefficients, Pengtao Sun

Quasi-optimal Convergence Rate for an Adaptive Hybridizable C0 Discontinuous Galerkin Method for Kirchhoff Plates, Pengtao Sun and Xuehai Huang

Modular Nonlinear Filter Based Time Relaxation Scheme for High Reynolds Number Flows, Aziz Takhirov, Monika Neda, and Jiajia Waters

An Iterative Approach for Constructing Immersed Finite Element Spaces and Applications to Interface Problems, Cheng Wang, Pengtao Sun, and Zhilin Li

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A Conforming Enriched Finite Element Method for Stokes Interface Problems, Hua Wang, Jinru Chen, Pengtao Sun, and Nan Wang

Development and Analysis of Crank‐Nicolson Scheme for Metamaterial Maxwell's Equations on Nonuniform Rectangular Grids, Xiang Wang, Jichun Li, and Zhiwei Fang

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Mathematical Analysis and Finite Element Time Domain Simulation of Arbitrary Star-Shaped Electromagnetic Cloaks, Wei Yang, Jichun Li, and Yungqing Huang

Existence and Concentration of Positive Solutions for Nonlinear Kirchhoff Type Problems with a General Critical Nonlinearity, Jianjun Zhang, David G. Costa, and Joao Marcos do O'

Existence and Concentration of Positive Solutions for Nonlinear Kirchhoff-Type Problems with a General Critical Nonlinearity, Jianjun Zhang, David G. Costa, and João Marcos do Ó

Submissions from 2017

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Higher dimensional Apollonian packings, revisited, A Baragar

A Novel Weak Estimator for Dynamic Systems, Moinak Bhaduri, Justin Zhan, and Carter Chiu

A Novel Online and Non-Parametric Approach for Drift Detection in Big Data, Moinak Bhaduri, Justin Zhan, Carter Chiu, and Felix Zhan

Merits of the History of Mathematics Projects, Satish C. Bhatnagar

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Numerical Study of the Navier-Stokes-α Deconvolution Model with Pointwise Mass Conservation, Sean Breckling and Monika Neda

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A Review of Time Relaxation Methods, Sean Breckling, Monika Neda, and Tahj Hill

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D1,2(RN) Versus C(RN) Local Minimizer and Zero-Mass Equations, Siegfried Carl, David G. Costa, and Hossein Tehrani

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Multiple positive solutions for a class of variational systems, A Castro, D Costa, and R Shivaji

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Application of the virial theorem for improving eigenvalue calculations of multiparticle systems, G Chen, Z Ding, T Huang, L Yu, V Ramakrishna, and J Ward

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Asymptotics of ground states for fractional Hénon systems, D G. Costa, O H. Miyagaki, M Squassina, and J Yang

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A variational approach to superlinear semipositone elliptic problems, D G. Costa, H Ramos Quoirin, and H Tehrani

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Palynologic delineation of the Devonian–Carboniferous boundary, West-Central Montana, USA, Pasquo M. di, G W. Grader, A Warren, B Rice, P Isaacson, and P T. Doughty

Existence of Nonnegative Solution for a p-Laplacian Semipositone Problem with Nonlinear Boundary Condition, Abdou K. Drame, Daniela A. Bardac-Vlada, and David G. Costa

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A Further Study of the tBurst of GRBs: Rest-frame Properties, External Plateau Contributions, and Multiple Parameter Analysis, H Gao, A B. Ren, W H. Lei, B B. Zhang, Hou-Jun Lü, and Y Li

An approach to the construction of linear divisibility sequences of higher orders, T X. He and P J.S. Shiue

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A Quantitative Insight into the Dependence Dynamics of the Kilauea and Mauna Loa Volcanoes, Hawaii, C H. Ho and M Bhaduri

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Effects of patellofemoral taping on patellofemoral joint alignment and contact area during weight bearing, K Y. Ho, R Epstein, R Garcia, N Riley, S P. Lee, and C Turner

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Developing weak Galerkin finite element methods for the wave equation, Y Huang, J Li, and D Li

Analysis and Application of an Equivalent Berenger's PML Model, Yunqing Huang, Hongen Jia, and Jichun Li

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Relative risk for HIV in India – An estimate using conditional auto-regressive models with Bayesian approach, C Kandhasamy and K Ghosh

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Mixed Finite Element Analysis for an Elliptic/Mixed Elliptic Interface Problem with Jump Coefficients, R Lan, P Sun, and M Mu

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Numerical study of signal propagation in corrugated coaxial cables, J Li, E A. Machorro, and S Shields

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Optimal non-dissipative discontinuous Galerkin methods for Maxwell's equations in Drude metamaterials, J Li, C Shi, and C W. Shu

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High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation, Yang Liu, Min Zhang, Hong Li, and Jichun Li

Well-Posedness and Solvability of Linear Ultraparabolic Equations on Bounded Domains, Michael D. Marcozzi